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Finding the Fourth Proportional to 2,341.43, 3,511.67 and 860.15

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Solution

The fourth proportional to 2,341.43, 3,511.67 and 860.15 is: 1,290.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,341.43 : 3,511.67 = 860.15 : x
  2. Step 2: Convert to fraction form
    2,341.43/3,511.67 = 860.15/x
  3. Step 3: Cross multiply
    2,341.43x = 3,511.67 × 860.15
  4. Step 4: Simplify right side
    2,341.43x = 3,020,562.95
  5. Step 5: Solve for x
    x = 3,020,562.95/2,341.43
  6. Step 6: Final answer
    x = 1,290.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.